The (Metaphysical) Foundations of Arithmetic?

Noûs 51 (4):775-801 (2017)
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Abstract
Gideon Rosen and Robert Schwartzkopff have independently suggested (variants of) the following claim, which is a varian of Hume's Principle: When the number of Fs is identical to the number of Gs, this fact is grounded by the fact that there is a one-to-one correspondence between the Fs and Gs. My paper is a detailed critique of the proposal. I don't find any decisive refutation of the proposal. At the same time, it has some consequences which many will find objectionable.
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2017
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DONTFO-12
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Archival date: 2018-06-17
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2016-05-19

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